Supersymmetry in second-order relativistic equations for the hydrogen atom

DOI10.1088/0305-4470/19/8/019zbMath0617.35123OpenAlexW2058350198MaRDI QIDQ4726753

Peter D. Jarvis, G. E. Stedman

Publication date: 1986

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/19/8/019

zbMATH Keywords

eigenvaluesSchrödinger equationeigenstatesrelativistic equationsfactorisation methodalgebra of supersymmetryDirac-Coulomb systemKlein-Gordon-Coulomb system

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

Spin relevant invariants and the general solution of the Dirac equation for the Coulomb fields ⋮ Algebra of the spinor invariants and the relativistic hydrogen atom ⋮ SUPERSYMMETRIC QUANTUM MECHANICAL GENERALIZED MIC–KEPLER SYSTEM ⋮ \(\mathrm{SU}(1,1)\) coherent states for Dirac-Kepler-Coulomb problem in \(D+1\) dimensions with scalar and vector potentials ⋮ Generalized ladder operators for the Dirac-Coulomb problem via SUSY QM ⋮ Fate of accidental symmetries of the relativistic hydrogen atom in a spherical cavity ⋮ Dirac equation and ground state of solvable potentials: supersymmetry method

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